This paper gives an estimate of a symmetric population distribution function Fand a modified K. Pearson statistic in the symmetric auxiliary information. Asymptoticalproperties show that they dominate the usual statis...This paper gives an estimate of a symmetric population distribution function Fand a modified K. Pearson statistic in the symmetric auxiliary information. Asymptoticalproperties show that they dominate the usual statistics. The asymptotic distribution ofthe modified K. Pearson statistic under the null hypothesis is derived. The approximateBahadur slope and asymptotic power function of a test based on the modified K. Pearsonstatistic are given. Numerical results show the modified K. Pearson statistic is better thanK. Pearson statistic.展开更多
文摘This paper gives an estimate of a symmetric population distribution function Fand a modified K. Pearson statistic in the symmetric auxiliary information. Asymptoticalproperties show that they dominate the usual statistics. The asymptotic distribution ofthe modified K. Pearson statistic under the null hypothesis is derived. The approximateBahadur slope and asymptotic power function of a test based on the modified K. Pearsonstatistic are given. Numerical results show the modified K. Pearson statistic is better thanK. Pearson statistic.
